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200896140 = 223517892213
BaseRepresentation
bin10111111100101…
…10111010001100
3112000000120200210
423332112322030
5402412134030
631533522420
74656406014
oct1376267214
9460016623
10200896140
11a3445275
1257343410
133280c173
141c976c44
1512984bb0
hexbf96e8c

200896140 has 96 divisors (see below), whose sum is σ = 602562240. Its totient is φ = 49831936.

The previous prime is 200896127. The next prime is 200896141. The reversal of 200896140 is 41698002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200896098 and 200896107.

It is not an unprimeable number, because it can be changed into a prime (200896141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89674 + ... + 91886.

It is an arithmetic number, because the mean of its divisors is an integer number (6276690).

Almost surely, 2200896140 is an apocalyptic number.

200896140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200896140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301281120).

200896140 is an abundant number, since it is smaller than the sum of its proper divisors (401666100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200896140 is a wasteful number, since it uses less digits than its factorization.

200896140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 200896140 is about 14173.7835456874. The cubic root of 200896140 is about 585.6756894201.

The spelling of 200896140 in words is "two hundred million, eight hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 89 102 170 178 204 255 267 340 356 445 510 534 890 1020 1068 1335 1513 1780 2213 2670 3026 4426 4539 5340 6052 6639 7565 8852 9078 11065 13278 15130 18156 22130 22695 26556 30260 33195 37621 44260 45390 66390 75242 90780 112863 132780 150484 188105 196957 225726 376210 393914 451452 564315 590871 752420 787828 984785 1128630 1181742 1969570 2257260 2363484 2954355 3348269 3939140 5908710 6696538 10044807 11817420 13393076 16741345 20089614 33482690 40179228 50224035 66965380 100448070 200896140